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Finding the Fourth Proportional to 10,435.02, 15,652.50 and 6,931.86

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Solution

The fourth proportional to 10,435.02, 15,652.50 and 6,931.86 is: 10,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.02 : 15,652.50 = 6,931.86 : x
  2. Step 2: Convert to fraction form
    10,435.02/15,652.50 = 6,931.86/x
  3. Step 3: Cross multiply
    10,435.02x = 15,652.50 × 6,931.86
  4. Step 4: Simplify right side
    10,435.02x = 108,500,938.65
  5. Step 5: Solve for x
    x = 108,500,938.65/10,435.02
  6. Step 6: Final answer
    x = 10,397.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.